Student Name Student ID Jordan University of Science & Technology PHYS 101A Final exam First semester 2007 Approximate your answer to those given for each question. Use this table to fill in your answer (Please use capital letters ) Q.# 1 2 3 4 5 6 7 8 9 10 Q.# 11 12 13 14 15 16 17 18 19 20 Q.# 21 22 23 24 25 26 27 28 29 30 Q.# 31 32 33 34 35 36 37 38 39 40 1. A copper wire of length 2.0 m, cross sectional area 7.1 10 6 m 2 and Young s modulus 11 10 10 N/m 2 has a 200-kg load hung on it. What is its increase in length? (g = 9.8 m/s 2 ) a. 0.50 mm b. 1.0 mm c. 2.5 mm d. 5.0 mm 2. The standard kilogram is a platinum-iridium cylinder 39.0 mm in height and 39.0 mm in diameter. What is the density of the material? a. 21.5 g/cm 3 b. 19.3 g/cm 3 c. 13.6 g/cm 3 d. 10.7 g/cm 3 3. A cube of wood of density 0.78 g/cm 3 is 10 cm on a side. When placed in water, what height of the block will float above the surface? (water density = 1.00 g/cm 3 ) a. 7.8 cm b. 5.0 cm c. 2.2 cm d. 6.4 cm 4. If the column of mercury in a barometer stands at 72.6 cm, what is the atmospheric pressure (N/m 2 )? (The density of mercury is 13.6 10 3 kg/m 3 and g = 9.80 m/s 2 ) a. 0.968 10 5 b. 1.03 10 5 c. 0.925 10 5 d. 1.07 10 5 5. As ice floats in water, about 10% of the ice floats above the surface of the water. If we float some ice in a glass of water, what will happen to the water level as the ice melts? a. The water level will rise 10% of the volume of the ice that melts. b. The water level will rise, but not as much as the 10% indicated in answer A. c. The water level will remain unchanged. d. The water level will become lower.
6. The flow rate of a liquid through a 2.0-cm-radius pipe is 0.008 0 m 3 /s. The average fluid speed in the pipe is: a. 0.64 m/s b. 2.0 m/s c. 0.040 m/s d. 6.4 m/s 7. Water (density = 1 10 3 kg/m 3 ) flows at 15 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor? a. 13 m/s b. 14 m/s c. 15 m/s d. 16 m/s 8. A hole is poked through the metal side of a drum holding water. The hole is 18 cm below the water surface. What is the initial speed of outflow? a. 1.9 m/s b. 2.96 m/s c. 3.2 m/s d. 3.5 m/s 9. Water is sent from a fire hose at 30 m/s at an angle of 30 above the horizontal. What is the maximum height reached by the water? a. 7.5 m b. 11 m c. 15 m d. 19 m 10. How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 10 5 Pa) a. 1.00 m b. 9.80 m c. 10.3 m d. 32.2 m 11. A heavily loaded boat is floating in a pond. The boat sinks because of a leak. What happens to the surface level of the pond? a. It stays the same. b. It goes up. c. It goes down. d. More information is needed to reach a conclusion. 12. In an elastic solid there is a direct proportionality between strain and: a. elastic modulus b. temperature c.cross-sectional area d. stress 13. The quantity stress expressed in terms of the fundamental quantities (mass, length, time) is equivalent to: a. MLT 1 b ML 1 T 2 c. M 2 L 1 T 3 d. a dimensionless 14. If a net torque is applied to an object, that object will experience: a. a constant angular speed b. an angular acceleration c. a constant moment of inertia d. an increasing moment of inertia
15. A disk has a moment of inertia of 3.0 10 4 kg m 2 and rotates with an angular speed of 3.5 rad/sec. What net torque must be applied to bring it to rest within 3 s? a. 4.5 10 3 b. 7.5 10 4 c. 3.5 10 4 d. 5.0 10 4 16. The total kinetic energy of a baseball thrown with a spinning motion is a function of: a. its linear speed but not rotational speed b. its rotational speed but not linear speed c. both linear and rotational speeds d. neither linear nor rotational speed 17. A bowling ball has a mass of 7.0 kg, a moment of inertia of 2.8 10 2 kg m 2 and a radius of 0.10 m. If it rolls down the lane without slipping at a linear speed of 4.0 m/s, what is its angular speed? a. 27 m/s b. 10 rad/s c. 0.050 rad/s d. 40 rad/s 18. A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15. It rolls to the bottom without slipping. The upper end of the ramp is 1.2 m higher than the lower end. Find the sphere s total kinetic energy when it reaches the bottom. (Note: I = 0.4MR 2 for a solid sphere and g = 9.8 m/s 2 ) a. 70 J b. 47 J c. 18 J d. 8.8 J 19. An ice skater spins at 2.5 rev/s when his arms are extended. He draws his arms in and spins at 6.0 rev/s. By what factor does his moment of inertia change in the process? a. 2.4 b. 1.0 c. 0.42 d. 0.12 20. A turntable has a moment of inertia of 3.00 10 2 kg m 2 and spins freely on a frictionless bearing at 25.0 rev/min. A 0.300-kg ball of putty is dropped vertically onto the turntable and sticks at a point 0.100 m from the center. What is the new rate of rotation of the system? a. 40.8 rev/min b. 22.7 rev/min c. 33.3 rev/min d. 27.2 rev/min 21. A cylinder with its mass concentrated toward the center has a moment of inertia of 0.1 MR 2. If this cylinder is rolling without slipping along a level surface with a linear speed v, what is the ratio of its rotational kinetic energy to its linear kinetic energy? a. 1/l0 b. 1/5 c. 1/2 d. 1/1 22. A cylinder (I = MR 2 /2) is rolling along the ground at 7.0 m/s. It comes to a hill and starts going up. Assuming no losses to friction, how high does it get before it stops? a. 1.2 m b. 3.7 m c. 4.2 m d. 5.9 m 23. The quantity moment of inertia (in terms of the fundamental quantities of mass, length, and time) is equivalent to: a. ML 2 T 2 b. ML c. ML 2 d. ML 1 T 2
24. A woman who weighs 500 N stands on an 8.0-m-long board that weighs 100 N. The board is supported at each end. The support force at the right end is 3 times the support force at the left end. How far from the right end is the woman standing? a. 4.0 m b. 2.0 m c. 2.7 m d. 1.6 m 25. An object with mass m and moment of inertia I is spinning with an angular momentum L. Its kinetic energy is a. 0.5 I 2 /L. b. 0.5 L 2 /I. c. 0.5 L 2 /m. d. 0.5 I 2 /m. 26. A billiard ball collides in an elastic head-on collision with a second stationary identical ball. After the collision which of the following conditions applies to the first ball? a. maintains the same velocity as before b. has one half its initial velocity c. comes to rest d. moves in the opposite direction 27. If a two-body collision is not head-on, then we may always assume: a. momentum is conserved b. kinetic energy is conserved c. neither momentum nor kinetic energy are conserved d. both momentum and kinetic energy are conserved 28. A 5-kg object is moving to the right at 4 m/s and collides with another object moving to the left at 5 m/s. The objects collide and stick together. After the collision, the combined object a. is moving to the right. b. is moving to the left. c. is at rest. d. has less kinetic energy than the system had before the collision. 29. The rate at which work is done is equivalent to which of the following? a. kinetic energy b. thermal energy c. potential energy d. power 30. What is the kinetic energy of a 0.135-kg baseball thrown at 40.0 m/s (90.0 mph)? a. 54.0 J b. 87.0 J c. 108 J d. 216 J 31. I drop a 60-g golf ball from 2.0 m high. It rebounds to 1.5 m. How much energy is lost? a. 0.29 J b. 0.50 J c. 0.88 J d. 1.0 J 32. The statement by Newton that for every action there is an opposite but equal reaction is regarded as which of his laws of motion? a. first b. second c. third d. fourth
33. If we know that a nonzero net force is acting on an object, which of the following must we assume regarding the object s condition? The object is: a. at rest. b. moving with a constant velocity. c. being accelerated. d. losing mass. 34. A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. If g = 9.8 m/s 2, what is the coefficient of static friction? a. 3.0 b. 0.15 c. 0.28 d. 0.31 35. A student adds two vectors with magnitudes of 200 and 40. Which one of the following is the only possible choice for the magnitude of the resultant? a. 100 b. 200 c. 260 d. 40 36. Vector A is 3.0 units in length and points along the positive x-axis; vector B is 4.0 units in length and points along a direction 150 from the positive x-axis. What is the direction of the resultant with respect to the positive x-axis? a. 77 b. 13 c. 86 d. 103 37. A bird, accelerating from rest at a constant rate, experiences a displacement of 28 m in 11 s. What is its acceleration? a. 0.21 m/s 2 b. 0.46 m/s 2 c. 0.64 m/s 2 d. 0.78 m/s 2 38. A v vs. t graph is drawn for a ball moving in one direction. The graph starts at the origin and at t = 5 s the acceleration of the ball is zero. We know that at t = 5 s, a. the slope of the curve is non-zero. b. the velocity of the ball is not changing. c. the curve is not crossing the time axis. d. the curve is at v = 0, t = 0. 39. If the displacement of an object is given in SI units by x = -3 t + 4 t 2, at t = 2 s its velocity and acceleration are, respectively a. positive, positive b. positive, negative c. negative, negative d. negative, positive 40. Suppose an equation relating position, x, to time, t, is given by x = b t 3 + c t 4, where b and c are constants. The dimensions of b and c are respectively a. T 3, T 4. b. 1/T 3, 1/T 4. c. L/T 3, L/T 4 d. L 2 T 3, L 2 T 4.